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92056393728 = 21138131731
BaseRepresentation
bin101010110111011111…
…1010001100000000000
322210121120100100000000
41111232333101200000
53002012414044403
6110142400000000
76436146302355
oct1255677214000
9283546310000
1092056393728
113604a486142
1215a11600000
1388b0b82cc0
14465407662c
1525dbb7d7a3
hex156efd1800

92056393728 has 864 divisors, whose sum is σ = 324970289280. Its totient is φ = 25798901760.

The previous prime is 92056393727. The next prime is 92056393733. The reversal of 92056393728 is 82739365029.

It is a happy number.

92056393728 is a `hidden beast` number, since 9 + 2 + 0 + 563 + 9 + 3 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92056393721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2969561073 + ... + 2969561103.

It is an arithmetic number, because the mean of its divisors is an integer number (376123020).

Almost surely, 292056393728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92056393728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162485144640).

92056393728 is an abundant number, since it is smaller than the sum of its proper divisors (232913895552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

92056393728 is an equidigital number, since it uses as much as digits as its factorization.

92056393728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 92056393728 in words is "ninety-two billion, fifty-six million, three hundred ninety-three thousand, seven hundred twenty-eight".